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Finding the Fourth Proportional to 27,362.50, 37,760.25 and 14,787.25

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Solution

The fourth proportional to 27,362.50, 37,760.25 and 14,787.25 is: 20,406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,362.50 : 37,760.25 = 14,787.25 : x
  2. Step 2: Convert to fraction form
    27,362.50/37,760.25 = 14,787.25/x
  3. Step 3: Cross multiply
    27,362.50x = 37,760.25 × 14,787.25
  4. Step 4: Simplify right side
    27,362.50x = 558,370,256.81
  5. Step 5: Solve for x
    x = 558,370,256.81/27,362.50
  6. Step 6: Final answer
    x = 20,406.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.